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Finding the Fourth Proportional to 218,467.41, 327,828.50 and 92,099.93

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Solution

The fourth proportional to 218,467.41, 327,828.50 and 92,099.93 is: 138,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,467.41 : 327,828.50 = 92,099.93 : x
  2. Step 2: Convert to fraction form
    218,467.41/327,828.50 = 92,099.93/x
  3. Step 3: Cross multiply
    218,467.41x = 327,828.50 × 92,099.93
  4. Step 4: Simplify right side
    218,467.41x = 30,192,979,802.36
  5. Step 5: Solve for x
    x = 30,192,979,802.36/218,467.41
  6. Step 6: Final answer
    x = 138,203.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.